On the upper bounds of eigenvalues for a class of systems of ordinary differential equations with higher order

DOI10.1155/2011/712703zbMath1239.34021OpenAlexW1977315792WikidataQ58686828 ScholiaQ58686828MaRDI QIDQ762977

Wei Liu, Li-Na Huang, Gao Jia

Publication date: 8 March 2012

Published in: International Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/712703

Mathematics Subject Classification ID

Linear boundary value problems for ordinary differential equations (34B05) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Boundary eigenvalue problems for ordinary differential equations (34B09)

Cites Work

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• Inequalities for eigenvalues of the biharmonic operator
• The upper bounds of arbitrary eigenvalues of uniformly elliptic operators with higher orders
• On the difference of consecutive eigenvalues of uniformly elliptic operators of higher orders
• On the upper bound of eigenvalues for elliptic equations with higher orders
• On the upper bound of second eigenvalues for uniformly elliptic operators of any orders.
• On the Ratio of Consecutive Eigenvalues
• Domain-Independent Upper Bounds for Eigenvalues of Elliptic Operators
• Can One Hear the Shape of a Drum? Revisited
• Ramifications, old and new, of the eigenvalue problem

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